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On the boundedness of subsequences of Vilenkin-Fejer means on the martingale hardy spaces
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). UiT Arctic Univ Norway, Dept Comp Sci & Computat Engn, POB 385, N-8505 Narvik, Norway.;Karlstad Univ, Dept Math & Comp Sci, Karlstad, Sweden..ORCID iD: 0000-0002-5914-3247
Univ Georgia, Sch Sci & Technol, 77a Merab Kostava St, GE-0128 Tbilisi, Georgia..
UiT Arctic Univ Norway, Dept Comp Sci & Computat Engn, POB 385, N-8505 Narvik, Norway.;Univ Georgia, Sch Sci & Technol, 77a Merab Kostava St, GE-0128 Tbilisi, Georgia..
2020 (English)In: Operators and Matrices, ISSN 1846-3886, E-ISSN 1848-9974, Vol. 14, no 1, p. 283-294Article in journal (Refereed) Published
Abstract [en]

In this paper we characterize subsequences of Fejer means with respect to Vilenkin systems, which are bounded from the Hardy space H-p to the Lebesgue space L-p, for all 0 < p < 1/2. The result is in a sense sharp.
Place, publisher, year, edition, pages
ELEMENT , 2020. Vol. 14, no 1, p. 283-294
Keywords [en]
Vilenkin system, Vilenkin group, Vilenkin-Fejer means, martingale Hardy space, maximal operator, Vilenkin-Fourier series
National Category
Computer Sciences
Research subject
Computer Science
Identifiers
URN: urn:nbn:se:kau:diva-77539DOI: 10.7153/oam-2020-14-22ISI: 000524023800022OAI: oai:DiVA.org:kau-77539DiVA, id: diva2:1425990
Available from: 2020-04-23 Created: 2020-04-23 Last updated: 2025-10-17Bibliographically approved

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Persson, Lars-Erik

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